Maximization of the probability to score at least a given distance in a long-jump competition

Shaul P. Ladany, Abraham Mehrez

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A model has been developed to determine the optimal distance between the official take-off line in the long-jump competition, and the arbitrary line that a jumper should select for himself and aim at for his take-offs in order to maximize the probability of scoring at least a given distance in the competition. The model has been solved numerically and upheld by simulation for a set of experimental data, for which the optimal location of the aimed at take-off line was determined as a function of the desired scored distance. It has been found that when the jumper aims at scoring at least a distance which is much below or much above his average jumping ability, it is imperative to use the corresponding optimal aimed at take-offline, and to avoid the use of the aimed at take-off line that maximizes the expected scored distance in the competition.

Original languageEnglish
Pages (from-to)249-256
Number of pages8
JournalComputers and Operations Research
Volume14
Issue number3
DOIs
StatePublished - 1 Jan 1987

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